3402216 has 64 divisors (see below), whose sum is σ = 9960000. Its totient is φ = 1073088.

The previous prime is 3402211. The next prime is 3402233. The reversal of 3402216 is 6122043.

It is a happy number.

3402216 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3402211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3690 + ... + 4518.

It is an arithmetic number, because the mean of its divisors is an integer number (155625).

Almost surely, 2^3402216 is an apocalyptic number.

3402216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980000).

3402216 is an abundant number, since it is smaller than the sum of its proper divisors (6557784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3402216 is a wasteful number, since it uses less digits than its factorization.

3402216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3402216 is about 1844.5096909477. The cubic root of 3402216 is about 150.4021210279.

Adding to 3402216 its reverse (6122043), we get a palindrome (9524259).

It can be divided in two parts, 340 and 2216, that added together give a triangular number (2556 = T₇₁).

The spelling of 3402216 in words is "three million, four hundred two thousand, two hundred sixteen".